Details

analyze127.0ms (5.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

59×	`cancel-sign-sub-inv_binary64`
46×	`sub-neg_binary64`
36×	`associate--r+_binary64`
30×	`distribute-rgt-in_binary64`
25×	`unsub-neg_binary64`
24×	`associate-+l-_binary64`
21×	`associate-l_binary64` `+-commutative_binary64`
19×	`associate-r_binary64`
16×	`distribute-lft-in_binary64`
15×	`neg-mul-1_binary64`
14×	`distribute-lft-neg-out_binary64` `associate--l+_binary64` `*-commutative_binary64`
13×	`distribute-rgt-neg-out_binary64` `distribute-rgt-neg-in_binary64`
12×	`neg-sub0_binary64`
11×	`associate-+r+_binary64`
8×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate--r-_binary64`
7×	`*-lft-identity_binary64` `distribute-neg-in_binary64` `associate-+l+_binary64`
6×	`*-rgt-identity_binary64` `sub0-neg_binary64`
5×	`distribute-lft-neg-in_binary64` `distribute-rgt-out--_binary64`
4×	`distribute-rgt1-in_binary64` `distribute-rgt-out_binary64` `associate--l-_binary64`
3×	`remove-double-neg_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `associate-+r-_binary64`
1×	`1-exp_binary64` `swap-x-y`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `--rgt-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	21	20
2	35	20
3	60	20
4	97	20
5	198	20
6	239	20
7	316	20
8	294	20
9	295	20
10	256	20
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
62.4%	32.8%	4.8%	8
69.5%	22.6%	7.9%	9
74.5%	16.4%	9.1%	10
78.2%	11.1%	10.6%	11
80.9%	8.2%	10.9%	12
82.8%	5.5%	11.7%	13
84.1%	4.1%	11.8%	14

Symmetry

(sort x y)

Compiler

Compiled 8 to 6 computations (25% saved)

sample20.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify20.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

55×	`cancel-sign-sub-inv_binary64`
50×	`sub-neg_binary64`
38×	`associate--r+_binary64`
36×	`distribute-rgt-in_binary64`
29×	`unsub-neg_binary64`
26×	`associate-+l-_binary64`
20×	`associate-l_binary64` `+-commutative_binary64`
18×	`distribute-lft-in_binary64` `associate-r_binary64`
15×	`neg-mul-1_binary64` `distribute-lft-neg-out_binary64`
13×	`*-commutative_binary64`
12×	`distribute-rgt-neg-out_binary64` `distribute-rgt-neg-in_binary64`
11×	`neg-sub0_binary64` `distribute-neg-in_binary64` `associate--l+_binary64`
10×	`associate-+r+_binary64`
9×	`associate-+l+_binary64`
8×	`sub0-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
7×	`*-lft-identity_binary64`
6×	`*-rgt-identity_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-out--_binary64` `associate--r-_binary64`
5×	`distribute-rgt1-in_binary64`
4×	`remove-double-neg_binary64`
3×	`+-rgt-identity_binary64` `distribute-rgt-out_binary64` `associate-+r-_binary64`
2×	`+-lft-identity_binary64` `distribute-neg-out_binary64` `associate--l-_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `--rgt-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	15	10
2	31	10
3	56	10
4	88	10
5	191	10
6	244	10
7	304	10
8	294	10
9	295	10
10	256	10

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

0.0b

Counts

1 → 1

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (+.f64 x y) (*.f64 x y))

rewrite18.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-log-exp_binary64`
2×	`diff-log_binary64`
1×	`sum-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip3--_binary64` `*-un-lft-identity_binary64` `sub-neg_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64` `associate--l+_binary64`

Counts

1 → 14

Calls

1 calls:

6.0ms

(-.f64 (+.f64 x y) (*.f64 x y))

Compiler

Compiled 205 to 51 computations (75.1% saved)

series24.0ms (1%)

Error

Counts

1 → 12

Calls

1 calls:

18.0ms

(-.f64 (+.f64 x y) (*.f64 x y))

Compiler

Compiled 150 to 111 computations (26% saved)

simplify74.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

881×	`times-frac_binary64`
744×	`associate-+l+_binary64`
469×	`distribute-rgt-neg-out_binary64`
261×	`neg-sub0_binary64`
250×	`neg-mul-1_binary64`
211×	`*-commutative_binary64`
210×	`distribute-rgt-in_binary64`
208×	`cancel-sign-sub-inv_binary64`
184×	`distribute-lft-in_binary64`
171×	`distribute-neg-in_binary64`
158×	`distribute-lft-neg-out_binary64`
152×	`+-commutative_binary64`
145×	`associate-l_binary64`
137×	`sub-neg_binary64`
120×	`associate-r_binary64`
91×	`exp-sum_binary64`
90×	`distribute-rgt-out_binary64`
81×	`sqr-pow_binary64`
77×	`distribute-rgt-neg-in_binary64`
75×	`distribute-lft-neg-in_binary64`
73×	`unsub-neg_binary64`
59×	`exp-prod_binary64`
57×	`exp-diff_binary64`
46×	`unswap-sqr_binary64`
44×	`associate--l+_binary64`
42×	`associate-+r+_binary64`
35×	`remove-double-neg_binary64` `difference-of-squares_binary64`
30×	`associate--r+_binary64`
28×	`swap-sqr_binary64`
26×	`associate-+l-_binary64`
25×	`cube-prod_binary64` `associate-+r-_binary64`
21×	`+-rgt-identity_binary64`
20×	`distribute-rgt1-in_binary64`
18×	`div-sub_binary64`
17×	`sub0-neg_binary64` `pow-sqr_binary64`
15×	`sqr-neg_binary64`
14×	`associate-/l*_binary64`
13×	`associate-/r*_binary64`
10×	`pow-plus_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
9×	`unpow3_binary64` `distribute-frac-neg_binary64`
8×	`exp-neg_binary64` `cube-unmult_binary64` `distribute-lft1-in_binary64`
7×	`mul-1-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
6×	`div-exp_binary64`
5×	`cube-mult_binary64` `cube-neg_binary64` `cancel-sign-sub_binary64`
4×	`log-prod_binary64` `associate-/r/_binary64` `associate-*r/_binary64`
3×	`associate-*l/_binary64`
2×	`unpow1/2_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `+-lft-identity_binary64` `associate--r-_binary64`
1×	`unpow-1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `distribute-neg-out_binary64` `associate-/l/_binary64` `associate--l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `--rgt-identity_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

26 → 22

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	329
1	127	308
2	397	308
3	1365	308
4	3097	308
5	4724	308
6	6203	308

prune9.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	2	23

Error

0.0b

Counts

23 → 2

Compiler

Compiled 183 to 45 computations (75.4% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 (+.f64 y x) (.f64 y x))) (cbrt.f64 (-.f64 (+.f64 y x) (*.f64 y x))))
0.6b	(cbrt.f64 (-.f64 (+.f64 y x) (*.f64 y x)))
0.6b	(cbrt.f64 (-.f64 (+.f64 y x) (*.f64 y x)))
0.6b	(cbrt.f64 (-.f64 (+.f64 y x) (*.f64 y x)))

rewrite83.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `flip3--_binary64` `flip--_binary64`
6×	`add-exp-log_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `frac-times_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

15.0ms	(.f64 (cbrt.f64 (-.f64 (+.f64 y x) (.f64 y x))) (cbrt.f64 (-.f64 (+.f64 y x) (*.f64 y x))))
5.0ms	(cbrt.f64 (-.f64 (+.f64 y x) (*.f64 y x)))
5.0ms	(cbrt.f64 (-.f64 (+.f64 y x) (*.f64 y x)))
5.0ms	(cbrt.f64 (-.f64 (+.f64 y x) (*.f64 y x)))

Compiler

Compiled 3219 to 328 computations (89.8% saved)

series389.0ms (16.4%)

Error

0.0b

Counts

4 → 58

Calls

4 calls:

138.0ms	(.f64 (cbrt.f64 (-.f64 (+.f64 y x) (.f64 y x))) (cbrt.f64 (-.f64 (+.f64 y x) (*.f64 y x))))
55.0ms	(cbrt.f64 (-.f64 (+.f64 y x) (*.f64 y x)))
55.0ms	(cbrt.f64 (-.f64 (+.f64 y x) (*.f64 y x)))
54.0ms	(cbrt.f64 (-.f64 (+.f64 y x) (*.f64 y x)))

Compiler

Compiled 8770 to 6223 computations (29% saved)

simplify213.0ms (9%)

Algorithm

1×	egg-herbie

Rules

309×	`associate-r_binary64`
244×	`times-frac_binary64`
226×	`sub-neg_binary64`
219×	`associate-l_binary64`
189×	`*-commutative_binary64`
182×	`associate-/r*_binary64`
162×	`associate-/l*_binary64`
158×	`+-commutative_binary64`
119×	`associate-+r+_binary64`
113×	`sqr-pow_binary64`
104×	`associate-+l+_binary64`
103×	`associate-*r/_binary64`
91×	`neg-mul-1_binary64` `neg-sub0_binary64`
88×	`associate-*l/_binary64`
83×	`cancel-sign-sub-inv_binary64`
73×	`associate--l+_binary64`
58×	`associate--r+_binary64`
54×	`unsub-neg_binary64`
53×	`log-prod_binary64`
42×	`unswap-sqr_binary64`
40×	`distribute-rgt-neg-in_binary64`
38×	`distribute-lft-neg-in_binary64`
36×	`exp-sum_binary64`
34×	`distribute-rgt-in_binary64`
32×	`exp-prod_binary64`
30×	`distribute-lft-in_binary64`
23×	`distribute-neg-in_binary64`
22×	`associate-/r/_binary64`
20×	`log-pow_binary64` `unpow1/3_binary64`
15×	`distribute-rgt-out_binary64`
12×	`unpow3_binary64` `cube-prod_binary64` `div-sub_binary64` `*-rgt-identity_binary64` `pow-sqr_binary64`
11×	`*-lft-identity_binary64`
9×	`pow-plus_binary64` `cube-unmult_binary64`
8×	`exp-diff_binary64` `swap-sqr_binary64`
7×	`unpow1/2_binary64` `fabs-mul_binary64`
6×	`unpow2_binary64` `unpow1_binary64`
5×	`cube-mult_binary64` `distribute-neg-frac_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`
4×	`log-div_binary64` `remove-double-neg_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out--_binary64` `associate--r-_binary64`
3×	`rem-sqrt-square_binary64` `mul-1-neg_binary64`
2×	`log-rec_binary64` `rem-3cbrt-lft_binary64` `difference-of-squares_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `fabs-sqr_binary64` `rem-square-sqrt_binary64` `distribute-rgt1-in_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

145 → 132

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	356	6585
1	1084	6079
2	4308	5790
3	4948	5774
4	4953	5774

prune112.0ms (4.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	131	3	134

Error

0.0b

Counts

134 → 3

Compiler

Compiled 5386 to 2492 computations (53.7% saved)

localize16.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y (-.f64 1 x)))))
0.6b	(cbrt.f64 (-.f64 (+.f64 y x) (*.f64 y x)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 y (-.f64 1 x))))
1.2b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y (-.f64 1 x))))) 6)

rewrite80.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`cbrt-prod_binary64`
12×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
9×	`unpow-prod-down_binary64`
8×	`cbrt-div_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`pow1/3_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64`
2×	`pow-pow_binary64` `flip3-+_binary64` `flip-+_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64` `sqr-pow_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 66

Calls

4 calls:

5.0ms	(cbrt.f64 (-.f64 (+.f64 y x) (*.f64 y x)))
5.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y (-.f64 1 x))))) 6)
3.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y (-.f64 1 x)))))
2.0ms	(cbrt.f64 (+.f64 x (*.f64 y (-.f64 1 x))))

Compiler

Compiled 2067 to 1155 computations (44.1% saved)

series359.0ms (15.2%)

Error

0.0b

Counts

4 → 55

Calls

4 calls:

114.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y (-.f64 1 x))))) 6)
63.0ms	(cbrt.f64 (-.f64 (+.f64 y x) (*.f64 y x)))
54.0ms	(cbrt.f64 (+.f64 x (*.f64 y (-.f64 1 x))))
53.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y (-.f64 1 x)))))

Compiler

Compiled 6361 to 5034 computations (20.9% saved)

simplify139.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

430×	`unswap-sqr_binary64`
313×	`associate-r_binary64`
249×	`sub-neg_binary64`
229×	`associate-l_binary64`
189×	`sqr-pow_binary64`
181×	`*-commutative_binary64`
152×	`+-commutative_binary64`
124×	`times-frac_binary64`
104×	`associate-/r*_binary64`
100×	`neg-mul-1_binary64` `neg-sub0_binary64`
98×	`associate-+r+_binary64`
93×	`associate-+l+_binary64`
92×	`associate-/l*_binary64`
87×	`cancel-sign-sub-inv_binary64`
72×	`associate--r+_binary64`
70×	`associate--l+_binary64`
61×	`unsub-neg_binary64` `associate-*r/_binary64`
52×	`associate-*l/_binary64`
46×	`exp-prod_binary64`
40×	`distribute-rgt-neg-in_binary64`
35×	`distribute-lft-neg-in_binary64`
33×	`log-prod_binary64` `distribute-neg-in_binary64` `distribute-rgt-in_binary64`
29×	`distribute-lft-in_binary64`
28×	`exp-sum_binary64`
25×	`cube-prod_binary64` `pow-sqr_binary64`
21×	`unpow3_binary64` `cube-mult_binary64`
19×	`distribute-rgt-out_binary64`
16×	`unpow1/3_binary64`
14×	`log-pow_binary64`
13×	`div-sub_binary64` `associate-/r/_binary64`
7×	`cube-unmult_binary64` `rem-cube-cbrt_binary64` `fabs-mul_binary64` `rem-sqrt-square_binary64`
6×	`pow-plus_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `difference-of-squares_binary64` `swap-sqr_binary64`
5×	`distribute-lft-neg-out_binary64` `distribute-lft-out_binary64`
4×	`log-div_binary64` `unpow1/2_binary64` `unpow1_binary64` `prod-exp_binary64` `exp-diff_binary64` `associate--r-_binary64`
3×	`unpow2_binary64` `rem-3cbrt-lft_binary64` `distribute-neg-frac_binary64` `distribute-rgt-out--_binary64`
2×	`log-rec_binary64` `fabs-sqr_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `difference-of-sqr--1_binary64`
1×	`1-exp_binary64` `rem-cbrt-cube_binary64` `rem-square-sqrt_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate--l-_binary64`

Counts

121 → 104

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	375	4599
1	1080	4313
2	4028	4149
3	5485	4149

prune100.0ms (4.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	104	3	107

Error

0.0b

Counts

107 → 3

Compiler

Compiled 3642 to 2318 computations (36.4% saved)

regimes72.0ms (3%)

Accuracy

Total 0.0b remaining (26.7%)

Threshold costs 0.0b (26.7%)

Compiler

Compiled 717 to 420 computations (41.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
4×	`sub-neg_binary64` `*-commutative_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
1×	`distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	13	10
2	23	10
3	29	10
4	33	10
5	34	10
6	34	10

end6.0ms (0.2%)

Remove: (sort x y)
Compiler: Compiled 21 to 15 computations (28.6% saved)

sample488.0ms (20.6%)

Algorithm

1×

intervals

Results

176.0ms	7998×	body	128	valid
7.0ms	77×	body	128	invalid
0.0ms	2×	body	1024	valid

Compiler

Compiled 70 to 43 computations (38.6% saved)

Iter	Nodes	Cost
0	9	20
1	21	20
2	35	20
3	60	20
4	97	20
5	198	20
6	239	20
7	316	20
8	294	20
9	295	20
10	256	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	6	10
1	15	10
2	31	10
3	56	10
4	88	10
5	191	10
6	244	10
7	304	10
8	294	10
9	295	10
10	256	10

Iter	Nodes	Cost
0	9	20
1	21	20
2	35	20
3	60	20
4	97	20
5	198	20
6	239	20
7	316	20
8	294	20
9	295	20
10	256	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	6	10
1	15	10
2	31	10
3	56	10
4	88	10
5	191	10
6	244	10
7	304	10
8	294	10
9	295	10
10	256	10

Details

analyze127.0ms (5.4%)

sample20.0ms (0.8%)

simplify20.0ms (0.8%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

rewrite18.0ms (0.8%)

series24.0ms (1%)

simplify74.0ms (3.1%)

prune9.0ms (0.4%)

localize12.0ms (0.5%)

rewrite83.0ms (3.5%)

series389.0ms (16.4%)

simplify213.0ms (9%)

prune112.0ms (4.7%)

localize16.0ms (0.7%)

rewrite80.0ms (3.4%)

series359.0ms (15.2%)

simplify139.0ms (5.9%)

prune100.0ms (4.2%)

regimes72.0ms (3%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end6.0ms (0.2%)

sample488.0ms (20.6%)

Profiling

Iter	Nodes	Cost
0	9	20
1	21	20
2	35	20
3	60	20
4	97	20
5	198	20
6	239	20
7	316	20
8	294	20
9	295	20
10	256	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	6	10
1	15	10
2	31	10
3	56	10
4	88	10
5	191	10
6	244	10
7	304	10
8	294	10
9	295	10
10	256	10